Some Explicit Formulae for the Singular Values of Certain Hankel Operators with Factorizable Symbol

In this paper a determinantal formula is written that allows one to compute the singular values of Hankel operators, the $L^\infty $-symbols of which are of the form $\bar mw$ for $w \in H^\infty $ rational and $m \in H^\infty $ inner. (All of the Hardy spaces are defined on the unit circle in the usual way.) This is related, moreover, to some problems from control and systems theory.